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# series is a function with index as independent variable

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Using the index of a series as the domain and the value of the series as the range, is a series a function?

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.

##### Solution Summary

The solution explains the definition of the function. It explains the type of the functions that the arithmetic and geometric series belong to using the index as the independent variable and the value of the series as the range. It also includes real life applications of the sequences.

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Yes, it is a function by using the index of a sequence as the domain and the value of the sequence as the range. ...

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